The recent FO variant of classic controller design includes an order parameter that changes the control effect of this operation. Lord Kelvin’s brother James Thomson invented a mechanical component with a constantly spinning disk and a ball which accomplishes this operation in mechanical computers. One control effect can be found using this operation applied to the (*) past values of the setpoint minus process variable error. This operation can be accomplished by an op-amp circuit which feeds its voltage output back to its input through a feedback capacitor. This is the common operation applied to the exponential kernel that changes analysis of a circuit between the frequency and time domains in the Laplace and Fourier transforms. For 10 points, name this operation which for PID controllers is represented by the I and is the opposite of differentiation. ■END■
| 2025 Penn Bowl - Stanford | 10/25/25 | Y | 4 | 100% | 0% | 50% | 111.25 |
| 2025 Penn Bowl - Northwestern | 10/25/25 | Y | 4 | 100% | 50% | 25% | 71.25 |
| 2025 Penn Bowl - Mainsite (UPenn) | 11/01/25 | Y | 6 | 100% | 0% | 50% | 124.33 |
| 2025 Penn Bowl - BU | 11/01/25 | Y | 4 | 100% | 25% | 25% | 99.00 |
| 2025 Penn Bowl - CWRU | 11/01/25 | Y | 3 | 100% | 0% | 33% | 135.67 |
| 2025 Penn Bowl - UNC | 11/01/25 | Y | 3 | 100% | 0% | 33% | 121.33 |
| 2025 Penn Bowl - WashU | 11/01/25 | Y | 2 | 100% | 0% | 50% | 132.50 |
| 2025 Penn Bowl - Ottawa | 11/01/25 | Y | 7 | 100% | 14% | 29% | 111.00 |
| 2025 Penn Bowl - UK | 11/01/25 | Y | 9 | 100% | 11% | 33% | 111.67 |
| 2025 Penn Bowl - Online | 11/08/25 | Y | 2 | 100% | 0% | 0% | 125.50 |
| 2025 Penn Bowl - Murray State | 11/08/25 | Y | 2 | 100% | 0% | 100% | 136.00 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Matthew Schiavone | Northwestern A | Northwestern B | 36 | 15 |
| Matthew Westley | Purdue A | UChicago C | 40 | 15 |
| Peter Breggren | MIT B | RIT | 42 | -5 |
| Todd Maslyk | Michigan A | Ohio State A | 43 | -5 |
| Denali Tran-Le | McGill Fartlets | Ottawa 67s | 43 | 15 |
| Oliver West | Galactic Ombudsmen | Quiztian Bale in Ratman Begins | 46 | 15 |
| Jonathan Huang | MIT A | Harvard | 46 | 15 |
| Michał Gerasimiuk | Stanford A | Berkeley C | 60 | 10 |
| Franklin Wu | Toronto Murder on the Rider Express | Toronto Sunshine Bubbles | 61 | 10 |
| Danny Han | Stanford B | The best time to buzz was twenty clues ago. The second best time to buzz is now | 66 | -5 |
| Alex Akridge | Indiana | UChicago A | 73 | 10 |
| Cade Reinberger | RIT | MIT B | 78 | 10 |
| Joseph Cole | UNC A | VT B | 79 | -5 |
| Davis Johnson | Purdue B | Illinois | 82 | -5 |
| Vivek Sasse | Hail to the Sheaf | Burnaburiash's Lapis Lazuli | 82 | 10 |
| Benjamin Chapman | Toronto G | Toronto Operation PBSuccess | 82 | -5 |
| Ben Spirtas | Maryland B | Maryland C | 83 | -5 |
| Delia Cropper | Penn and the Art of Tossup-Bonus cycle Maintenance | question mark | 91 | 10 |
| Jerry Vinokurov | John Jay | NYU B | 95 | 10 |
| Sinecio Morales | JHU A | Maryland A | 105 | -5 |
| Jason Qin | Columbia A | Swarthmore | 108 | -5 |
| Michael Wu | Coughing Baby | Washed Scrubs | 108 | -5 |
| Aiden Bang | JHU B | Columbia B | 108 | 10 |
| Michael Du | Waterloo you are crooked | Queen's is monitoring the situation | 108 | -5 |
| Daniel Hothem | In Search of Lost Clues | Free Win | 108 | -5 |
| Gus Redding | The Bit and the Penndulum | Chimp Brisket | 111 | -5 |
| June Yin | WashU Kiki | VJ Edgecombe School of Interior Design - Edwardsville | 111 | -5 |
| Matthew He | Texas B | Texas A | 111 | -5 |
| Abdelrahman Elsisi | why is it called a score clue if nobody scores points on it | To buzz is to be perceived | 111 | -5 |
| Collin Leck | Central Oklahoma | Oklahoma | 114 | -5 |
| Noah Chin | VT A | Wise Duke | 114 | 10 |
| Vinu Harihar | Berkeley B | Berkeley A | 114 | 10 |
| Zachary Bornstein | VT B | UNC A | 115 | 10 |
| George Matsumura | Wake Up Paddington A Washington Mystery | abg academy | 115 | 10 |
| Evan Lynch | Washed Scrubs | Coughing Baby | 129 | 10 |
| Tyler Therman | VJ Edgecombe School of Interior Design - Edwardsville | WashU Kiki | 129 | 10 |
| Asha Basu | McGill B | Toronto E | 129 | 10 |
| Joshua Lam | Ohio State B | CWRU | 135 | 10 |
| Ryan Rosenberg | NYU A | Mount Sinai | 135 | 10 |
| Sam Moore | Knorr Stock Clue | Of Mice and Penn | 135 | 10 |
| Max Kurzman | UNC B | Planck Sinatra | 135 | 10 |
| Shahar Schwartz | Free Win | In Search of Lost Clues | 135 | 10 |
| Ariel Faeder | Pittsburgh | Michigan C | 136 | 10 |
| Ben Hellman | Swarthmore | Columbia A | 136 | 10 |
| Chris Stewart | Oklahoma | Central Oklahoma | 136 | 10 |
| Akshar Goyal | Illinois | Purdue B | 136 | 10 |
| Oscar Siddle | Chimp Brisket | The Bit and the Penndulum | 136 | 10 |
| Camden Williams | Truman State | WashU Bouba | 136 | 0 |
| Paul Lee | WashU Bouba | Truman State | 136 | 10 |
| Aditya Patnaik | Ohio State A | Michigan A | 136 | 10 |
| Xavier Bornhorst | Maryland A | JHU A | 136 | 10 |
| Kevin Liu | Maryland C | Maryland B | 136 | 10 |
| Jisoo Yoo | Texas A | Texas B | 136 | 10 |
| Danny Fisher | Alas poor Warwick, I knew him Edinburgh | 1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail | 136 | 10 |
| Joseph Krol | To buzz is to be perceived | why is it called a score clue if nobody scores points on it | 136 | 10 |
| Philip Yao | Brown | Brandeis | 136 | 10 |
| Walter Zhang | I've been running into you in my lead plumbocene what could have benzene | Yale | 136 | 10 |
| Will Alston | rusty shackleford | New Young Whigs of America | 136 | 10 |
| Henry Atkins | Aweille Kevin Fan osti continue comme ça | #OpenToBuzz | 136 | 10 |
| Rayton Lin | Guelph perfomative male competition | Carleton A | 136 | 10 |
| Jason Zhang | Toronto Operation PBSuccess | Toronto G | 136 | 10 |
| Brendan Bridle | Queen's is monitoring the situation | Waterloo you are crooked | 136 | 10 |
| Richard Niu | The best time to buzz was twenty clues ago. The second best time to buzz is now | Stanford B | 136 | 10 |